Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type
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@Article{ATA-38-204,
author = {Le , Hung Viet},
title = {Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type},
journal = {Analysis in Theory and Applications},
year = {2022},
volume = {38},
number = {2},
pages = {204--231},
abstract = {
In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight $\omega$ considered here belongs to the Muckenhoupt’s class $A_∞.$ Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2019-0011}, url = {http://global-sci.org/intro/article_detail/ata/20799.html} }
TY - JOUR
T1 - Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type
AU - Le , Hung Viet
JO - Analysis in Theory and Applications
VL - 2
SP - 204
EP - 231
PY - 2022
DA - 2022/07
SN - 38
DO - http://doi.org/10.4208/ata.OA-2019-0011
UR - https://global-sci.org/intro/article_detail/ata/20799.html
KW - Commutators, Muckenhoupt weights, Marcinkiewicz integrals, Singular integrals, Sharp maximal functions, BMO functions, Young functions, Luxemburg norm, Spaces of homogeneous type.
AB -
In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight $\omega$ considered here belongs to the Muckenhoupt’s class $A_∞.$ Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.
Hung Viet Le. (2022). Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type.
Analysis in Theory and Applications. 38 (2).
204-231.
doi:10.4208/ata.OA-2019-0011
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